Research Highlights

Direct Finite Element Solver of Linear Complexity for Large-Scale Electromagnetic Analysis:

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Directly factorize and solve a sparse matrix resulting from an FEM-based analysis of general 3-D electromagnetic problems in linear (optimal) complexity.

Direct Integral Equation Solvers (Inverse and LU) of Linear Complexity for Large-Scale Circuit Extraction:

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Directly invert or factorize a dense matrix resulting from an IE-based analysis of general 3-D circuit layouts in linear (optimal) complexity.

Direct Integral Equation Solvers for Electrically Large Analysis:

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Directly invert or factorize a dense matrix resulting from an IE-based analysis of general 3-D electrically large electromagnetic problems in low complexity.

Low-Frequency Breakdown:

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Solve the low-frequency breakdown problem of full-wave solvers.

Explicit and Unconditionally Stable Time-Domain Methods:

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Overcome the time step limit due to space step while preserving the explicit time marching.

Extraction-Free Circuit Simulators:

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Simulate the physical layout of intgrated circuits and systems directly without circuit extraction.